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Finding the Fourth Proportional to 4,307.64, 6,461.43 and 1,229.64

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Solution

The fourth proportional to 4,307.64, 6,461.43 and 1,229.64 is: 1,844.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,307.64 : 6,461.43 = 1,229.64 : x
  2. Step 2: Convert to fraction form
    4,307.64/6,461.43 = 1,229.64/x
  3. Step 3: Cross multiply
    4,307.64x = 6,461.43 × 1,229.64
  4. Step 4: Simplify right side
    4,307.64x = 7,945,232.79
  5. Step 5: Solve for x
    x = 7,945,232.79/4,307.64
  6. Step 6: Final answer
    x = 1,844.45

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.